What is the answer to (x^2+1)/x = 4/(sqrt(3)) ?

The answer to (x^2+1)/x = 4/(sqrt(3)) is x=sqrt(3),x= 1/(sqrt(3))

Solve for x: (x^2+1)/x = 4/(sqrt(3))

The solution is x=sqrt(3),x= 1/(sqrt(3))

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\frac{x ^{2} + 1}{x} = \frac{4}{3}

x = 3, x = \frac{1}{3}

Decimal Notation

x = 1.73205 \dots, x = 0.57735 \dots

Solution steps

\frac{x ^{2} + 1}{x} = \frac{4}{3}

Cross multiply

(x^{2} + 1) 3 = x \cdot 4

Solve

(x^{2} + 1) 3 = x \cdot 4 : x = 3, x = \frac{1}{3}

x = 3, x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = \frac{1}{3}

x, \frac{2}{x} = 1.32588

\frac{x ^{2}}{x - 6} = \frac{36}{x - 6}

\frac{5 - x}{x - 2} + \frac{3}{x ^{2} - 4} = 2

\frac{x - 3}{x - 1} = 2

\frac{1}{x - 2} + \frac{1}{x + 2} = \frac{6}{5}

What is the answer to (x^2+1)/x = 4/(sqrt(3)) ?
The answer to (x^2+1)/x = 4/(sqrt(3)) is x=sqrt(3),x= 1/(sqrt(3))
Solve for x: (x^2+1)/x = 4/(sqrt(3))
The solution is x=sqrt(3),x= 1/(sqrt(3))